Free Printable Algebra 1 Final Review 2025

1.

\frac{d-8}{-2}=\ 12

a)

-32

b)

-16

c)

-10

d)

32

2.

Solve for x:
4(1-x)+3x=-2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

3.

Solve for w:

\frac{2w+6}{5}=8

a)

$w=17$

b)

$w=40$

c)

$w=\frac{7}{2}$

d)

$w=-\frac{3}{2}$

4.

8x - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

5.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

6.

Solve: 2(4x - 3) - 8 = 4 + 2x

a)

5/3

b)

3

c)

1

d)

2

7.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

8.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

9.

3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

10.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

11.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

12.

Do you flip the sign?
-3x + 2 ≤ 22

a)

YES

b)

NO

13.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

14.

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

a)

No solutions

b)

x < −8 or x < 2

c)

x > −8 or x < 2

d)

x < −8 and x < 2

15.

−6 < 2t − 5 < 3

a)

−0.5 < t < 1

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

16.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

17.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

18.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

19.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

20.

Write the equation of the line through the points (-6, -19) and (2, 5).

a)

y = -7/2x + 12

b)

y = 3x + 11

c)

y = -7/2x - 40

d)

y = 3x - 1

21.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

a)

y = -2x + 2

b)

y = 2x + 2

c)

y = 1/2x- 2

d)

y = -1/2x + 2

22.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

23.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

24.

What is the range?

a)

{5, 10, 15}

b)

{(5,2), (5,4), (10,6), (15,8)}

c)

{2, 4, 6, 8}

d)

{5, 2, 4, 10, 15}

25.

What is the domain?

a)

{1, 2, 3, 4, 5, 6}

b)

{0, 1, 2, 3, 4, 5, 6}

c)

{2, 4, 8}

d)

{-1, 0, 1, 2, 3, 6}

26.

What is the range?

a)

{1, 2, 3, 4, 5, 6}

b)

{0, 1, 2, 3, 4, 5, 6}

c)

{2, 4, 8}

d)

{-1, 0, 1, 2, 3, 6}

27.

What is the domain in Interval notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

(-2 , 2 )

d)

(4 , -4 )

28.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

29.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

30.

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

a)

c = 2.75b + 4

b)

c = 2.75b

c)

c = 4b- 2.75

d)

c = 2.75b - 4

31.

Jack wants to save up money to buy his math teacher a new calculator for the holidays.

He saves $12 per week. He started off with $30 in his savings. What would be the linear equation to represent this situation?

a)

y=12x

b)

y=12x+30

c)

y=42x

d)

y=30x+12

32.

What is the constant rate of change?

a)

Not here.

b)

$80 per month.

c)

$82 per month.

d)

$41 per month.

33.

What is the rate of change?

a)

1/4

b)

4

c)

-3

d)

-2

34.

A system has ____________ when two lines intersect at one point.

a)

One solution

b)

No solution

c)

Infinitely Many Solution

35.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

36.

a)

Infinitely Many Solutions

b)

No Solution

37.

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

38.

What is the solution to this system of equations? Solve by substitution or graphing.

a)

(7, -8)

b)

(-7, 8)

c)

(-7, -8)

d)

(7, 8)

39.

Select all ordered pairs that are in the solution set to the inequality.

a)

(0, -2)

b)

(6, -3)

c)

(-4, 0)

d)

(0, 0)

40.

What inequality is shown in the graph?

a)

$y\le-4x-2$

b)

$y<-\frac{1}{4}x+2$

c)

$y\ge-0.25x-2$

d)

$y>-\frac{1}{4}x-2$

41.

Hudson created this graph for

y>3x+5

.
Is he correct? Why or why not?

a)

He is incorrect. The line should be solid.

b)

He is incorrect. The wrong side is shaded.

c)

He is correct because it's shaded to the right.

d)

None of these are true.

42.

Which ordered pair satisfies the inequality?

$5x-7y\le28$

a)

(0, -5)

b)

(10, 2)

c)

(6, -4)

d)

(-7, -3)

43.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

44.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

Algebra 1 Final Review 2025

Total questions: 44

Worksheet time: 3hrs 1mins

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